Question

how can you simplify sec^2(x)(2+cos(x)tan(x))
to get sec^2(x)(2+sin(x))

Answer 1

tanx = sinx / cosx

cos x tanx = cosx (sinx)/ (cosx)
cosx of numerator and denominator get cancelled
(2+cos(x)tan(x)) = 2+ sinx

sec^2(x)(2+cos(x)tan(x)) = sec^2(x)(2+sin(x))

Answer 2

so simple just expand tanx int sinx / cos x and cancel out cos x u get the simplified form

Answer 3

is cosx tanx= (sinx)/(cosx)(cosx)

Answer 4

no